Topics: Mathematical methods, domain, range, limits, continuity, partial derivatives, chain rule, gradient, jacobian, implicit differentiation, normal derivative, total differentiation, exact equations, laplace equation, harmonic functions, arbitrary functions, extreme value problems, infinite sequence, infinite series, convergence, divergence, Cauchy ratio test

Topics: mathematics, indices, logarithm, surd, positive square root, polynomials, partial fraction, quadratic equations, maximum value, minimum value, alpha functions, beta functions, simultaenous linear equation, binomial theorem, complex number, Arithemetic progression, geometric progression

Topics: Thermodynamics, steady-flow equation, working fluid, reversible process, polytropic process, heat engine, entropy, exergy, heat engine cycle, carnot cycle absolute temperature scale, constant pressure cycle, air standard cycle. Otto cycle, diesel cycle, dual combustion cycle, combustion, fuels, combustion equations, enthalpy, power plant thermal efficiency, steam cycles, rankine cycle, gas turbine cycles, nozzles, jet propulsion, rotodynamic machinery, reciprocating internal-combustion engines, engine output, engine efficiency, supercharging, refrigeration, heat pumps, reversed heat engine cycles, vapour-compression cycles, gas cycles, psychrometry, air-conditioning, heat transfer, conduction equation, conduction, convection, heat exchangers, black-body radiation, combined cycles

Topics: Galilean invariance, Galilean transformation equations

Topics: Units, dimension, International System of Units, Fundamental Units, Supplementary Units, Dimensionally Homogeneous Equations, Unit consistency, unit Conversions

Topics: Regression Analysis, Simple Regression Model, Multiple Regression Analysis, OLS Asymptotics, Heteroskedasticity, Time Series, Serial Correlation, Time Series Regressions, Simple Panel Data Methods, Advanced Panel Data Methods, Instrumental Variables Estimation, Two Stage Least Squares, Simultaneous Equations Models, Limited Dependent Variable Models, Sample Selection Corrections

Topics: Heteroskedasticity, Autocorrelation, Multicollinearity, Inadequate Variation, Simultaneous Equations Regression Model, Panel Data Model

Topics: Dynamics, Newtonian mechanics, kinematics, rectangular coordinates, curvilinear motion, Force-Mass-Acceleration Method, work-energy, impulse-momentum, power, efficiency, impulse, momentum, plastic impact, impulsive motion, elastic impact, mass flow, planar angular motion, equations of motion, planar kinetics, impulse-momentum methods, vibrations, rigid-body vibration, forced vibrations

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements